소장자료
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| 008 | 240116s2023 us |||||||||||||||c||eng d▲ | ||
| 020 | ▼a9798379751142▲ | ||
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| 040 | ▼aMiAaPQ▼cMiAaPQ▲ | ||
| 082 | 0 | ▼a510▲ | |
| 100 | 1 | ▼aYang, Jianing.▲ | |
| 245 | 1 | 0 | ▼aLifting Elementary Abelian Covers of Curves▼h[electronic resource]▲ |
| 260 | ▼a[S.l.]: ▼bUniversity of Pennsylvania. ▼c2023▲ | ||
| 260 | 1 | ▼aAnn Arbor : ▼bProQuest Dissertations & Theses, ▼c2023▲ | |
| 300 | ▼a1 online resource(59 p.)▲ | ||
| 500 | ▼aSource: Dissertations Abstracts International, Volume: 84-12, Section: B.▲ | ||
| 500 | ▼aAdvisor: Harbater, David.▲ | ||
| 502 | 1 | ▼aThesis (Ph.D.)--University of Pennsylvania, 2023.▲ | |
| 506 | ▼aThis item must not be sold to any third party vendors.▲ | ||
| 520 | ▼aGiven a Galois cover of curves f over a field of characteristic p, the lifting problem asks whether there exists a Galois cover over a complete mixed characteristic discrete valuation ring whose reduction is f . In this thesis, we try to answer this question in the case where the Galois groups are elementary abelian p-groups. We prove a combinatorial criterion for lifting an elementary abelian p-cover, dependent on the branch loci of its p-cyclic subcovers. Moreover, we study how branch points of a lift coalesce on the special fiber. Finally, we construct lifts for several families of (₩uD835₩uDD6B/2)3-covers of various conductor types, both with equidistant branch locus geometry and non-equidistant branch locus geometry.▲ | ||
| 590 | ▼aSchool code: 0175.▲ | ||
| 650 | 4 | ▼aMathematics.▲ | |
| 650 | 4 | ▼aApplied mathematics.▲ | |
| 653 | ▼aAlgebraic geometry▲ | ||
| 653 | ▼aArithmetic geometry▲ | ||
| 653 | ▼aGalois theory▲ | ||
| 653 | ▼aLifting problem▲ | ||
| 653 | ▼aGalois cover▲ | ||
| 690 | ▼a0405▲ | ||
| 690 | ▼a0364▲ | ||
| 710 | 2 | 0 | ▼aUniversity of Pennsylvania.▼bMathematics.▲ |
| 773 | 0 | ▼tDissertations Abstracts International▼g84-12B.▲ | |
| 773 | ▼tDissertation Abstract International▲ | ||
| 790 | ▼a0175▲ | ||
| 791 | ▼aPh.D.▲ | ||
| 792 | ▼a2023▲ | ||
| 793 | ▼aEnglish▲ | ||
| 856 | 4 | 0 | ▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T16931918▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.▲ |
Lifting Elementary Abelian Covers of Curves[electronic resource]
자료유형
국외eBook
서명/책임사항
Lifting Elementary Abelian Covers of Curves [electronic resource]
개인저자
발행사항
[S.l.] : University of Pennsylvania. 2023 Ann Arbor : ProQuest Dissertations & Theses , 2023
형태사항
1 online resource(59 p.)
일반주기
Source: Dissertations Abstracts International, Volume: 84-12, Section: B.
Advisor: Harbater, David.
Advisor: Harbater, David.
학위논문주기
Thesis (Ph.D.)--University of Pennsylvania, 2023.
요약주기
Given a Galois cover of curves f over a field of characteristic p, the lifting problem asks whether there exists a Galois cover over a complete mixed characteristic discrete valuation ring whose reduction is f . In this thesis, we try to answer this question in the case where the Galois groups are elementary abelian p-groups. We prove a combinatorial criterion for lifting an elementary abelian p-cover, dependent on the branch loci of its p-cyclic subcovers. Moreover, we study how branch points of a lift coalesce on the special fiber. Finally, we construct lifts for several families of (\uD835\uDD6B/2)3-covers of various conductor types, both with equidistant branch locus geometry and non-equidistant branch locus geometry.
주제
ISBN
9798379751142
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